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Finding the Fourth Proportional to 282,715.76, 424,115.64 and 93,141.14

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Solution

The fourth proportional to 282,715.76, 424,115.64 and 93,141.14 is: 139,725.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,715.76 : 424,115.64 = 93,141.14 : x
  2. Step 2: Convert to fraction form
    282,715.76/424,115.64 = 93,141.14/x
  3. Step 3: Cross multiply
    282,715.76x = 424,115.64 × 93,141.14
  4. Step 4: Simplify right side
    282,715.76x = 39,502,614,201.43
  5. Step 5: Solve for x
    x = 39,502,614,201.43/282,715.76
  6. Step 6: Final answer
    x = 139,725.55

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.